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| %% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.66 1999/12/24 00:01:21 tam Exp $ |
%% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.85 1999/12/25 10:00:48 tam Exp $ |
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| \usepackage{jssac} |
\usepackage{jssac} |
| \title{¥¿¥¤¤Î¥È¥ë} |
\title{ |
| \title{°ÕÌ£¤â¤Ê¤¤½¤¾þ²á¾ê¤Ê¸ì¶ç¤ÏÇÓ½ü¤·¤Þ¤·¤ç¤¦¡£} |
1. °ÕÌ£¤â¤Ê¤¤½¤¾þ²á¾ê¤Ê¸ì¶ç¤ÏÇÓ½ü¤·¤Þ¤·¤ç¤¦. \\ |
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2. ¤»¤Ã¤«¤¯ fill ¤·¤Æ¤¤¤ë¤Î¤ò¤¤¤¸¤é¤Ê¤¤¤Ç¤¯¤ì. \\ |
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3. Åļ¤¬Í·¤ó¤Ç¤Ð¤«¤ê¤Ç¤ª¤ì¤Ð¤«¤ê»Å»ö¤ò¤·¤Æ¤¤¤ë¤Î¤Ï¤É¤¦¹Í¤¨¤Æ¤âÉÔ¸øÊ¿¤À. |
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¤Ê¤ó¤Ç»Å»ö¤ò¤·¤Ê¤¤¤Î¤«, ¤¤¤¤²Ã¸º»Å»ö¤ò¤·¤í, Åļ. \\ |
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3.5 ¤½¤¦¤¤¤¦¤´ÈӤȤ«¤Ä¤Þ¤é¤Ê¤¤Ï两ã¤Ê¤¯¤Æ, commit ¤Î¾ðÊó¤ò¤ß¤ì¤ÐÅļ¤¬ |
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Ç¡²¿¤Ë»Å»ö¤ò¤·¤Æ¤¤¤Ê¤¤¤Î¤«¤è¤¯¤ï¤«¤ë¤è. \\ |
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4. ¤¤¤¤²Ã¸º, Section 8 ¤ò½ñ¤±. |
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} |
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| \author{±ü ë ¡¡ ¹Ô ±û\affil{¿À¸ÍÂç³ØÂç³Ø±¡¼«Á³²Ê³Ø¸¦µæ²Ê} |
\author{±ü ë ¡¡ ¹Ô ±û\affil{¿À¸ÍÂç³ØÂç³Ø±¡¼«Á³²Ê³Ø¸¦µæ²Ê} |
| \mail{okutani@math.sci.kobe-u.ac.jp} |
\mail{okutani@math.sci.kobe-u.ac.jp} |
|
|
| \and Á° Àî ¡¡ ¾ ½¨\affil{¿À¸ÍÂç³ØÍý³ØÉô} |
\and Á° Àî ¡¡ ¾ ½¨\affil{¿À¸ÍÂç³ØÍý³ØÉô} |
| \mail{maekawa@math.sci.kobe-u.ac.jp} |
\mail{maekawa@math.sci.kobe-u.ac.jp} |
| } |
} |
| \art{} |
%\art{} |
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|
| \begin{document} |
\begin{document} |
| \maketitle |
\maketitle |
| |
|
| \section{OpenXM¤È¤Ï} |
\section{OpenXM¤È¤Ï} |
| |
|
| OpenXM ¤Ï¿ô³Ø¥×¥í¥»¥¹´Ö¤Ç¥á¥Ã¥»¡¼¥¸¤ò¸ò´¹¤¹¤ë¤¿¤á¤Îµ¬Ìó¤Ç¤¢¤ë¡£ |
OpenXM ¤Ï¿ô³Ø¥×¥í¥»¥¹´Ö¤Ç¥á¥Ã¥»¡¼¥¸¤ò¸ò´¹¤¹¤ë¤¿¤á¤Îµ¬Ìó¤Ç¤¢¤ë. |
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¾¤Î¥Þ¥·¥ó¤Ç·×»»¤ò¹Ô¤Ê¤ï¤»¤¿¤ê¤¹¤ë¤³¤È¤¬ÌÜŪ¤Ç¤¢¤ë. |
| ¤Ê¤ª¡¢ OpenXM ¤È¤Ï Open message eXchange protocol for Mathematics ¤Îά¤Ç¤¢¤ë¡£ |
¤Ê¤ª, OpenXM ¤È¤Ï Open message eXchange protocol for Mathematics ¤Îά¤Ç¤¢¤ë. |
| OpenXM ¤Î³«È¯¤Îȯü¤ÏÌîϤ¤È¹â»³¤Ë¤è¤ê¡¢ |
OpenXM ¤Î³«È¯¤Îȯü¤ÏÌîϤ¤È¹â»³¤Ë¤è¤ê, |
| asir ¤È kan/sm1 ¤òÁê¸ß¤Ë¸Æ¤Ó½Ð¤¹µ¡Ç½¤ò¼ÂÁõ¤·¤¿¤³¤È¤Ç¤¢¤ë¡£ |
asir ¤È kan/sm1 ¤òÁê¸ß¤Ë¸Æ¤Ó½Ð¤¹µ¡Ç½¤ò¼ÂÁõ¤·¤¿¤³¤È¤Ç¤¢¤ë. |
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| ¸½ºß¤Î OpenXM µ¬Ìó¤Ç¤Ï¶¦ÄÌɽ¸½·Á¼°¤Ë¤è¤ë¥á¥Ã¥»¡¼¥¸¤òÍѤ¤¤Æ¤¤¤ë¡£ |
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| ¾åµ¤Îʸ»úÎó¤òÁ÷¤ëÊýË¡¤ÎÍøÅÀ¤òÀ¸¤«¤¹¤¿¤á¡¢ |
¾åµ¤Îʸ»úÎó¤òÁ÷¤ëÊýË¡¤ÎÍøÅÀ¤òÀ¸¤«¤¹¤¿¤á, |
| OpenXM µ¬Ìó¤Ç¤Ï¶¦ÄÌɽ¸½·Á¼°¤ÎÃæ¤Îʸ»úÎó¤È¤·¤Æ¡¢ |
OpenXM µ¬Ìó¤Ç¤Ï¶¦ÄÌɽ¸½·Á¼°¤ÎÃæ¤Îʸ»úÎó¤È¤·¤Æ, |
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| OpenXM µ¬Ìó¤Ç¤ÏÄÌ¿®¤ÎÊýË¡¤Ë´ö¤é¤«¤Î¼«Í³ÅÙ¤¬¤¢¤ë¤¬¡¢ |
OpenXM µ¬Ìó¤Ç¤ÏÄÌ¿®¤ÎÊýË¡¤Ë´ö¤é¤«¤Î¼«Í³ÅÙ¤¬¤¢¤ë¤¬, |
| ¸½ºß¤Î¤È¤³¤í¤Ï TCP/IP ¤òÍѤ¤¤¿ÄÌ¿®¤·¤«¼ÂÁõ¤µ¤ì¤Æ¤¤¤Ê¤¤¡£ |
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| ¤½¤³¤Ç¡¢¤³¤ÎÏÀʸ¤Ç¤Ï¶ñÂÎŪ¤Ê¼ÂÁõ¤Ï TCP/IP ¤òÍѤ¤¤Æ¤¤¤ë¤È²¾Äꤹ¤ë¡£ |
\footnote{asir ¤Ç¤Ï MPI ¤òÍѤ¤¤¿¼ÂÁõ¤â¤¢¤ë.} |
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¤½¤³¤Ç, ¤³¤ÎÏÀʸ¤Ç¤Ï¶ñÂÎŪ¤Ê¼ÂÁõ¤Ï TCP/IP ¤òÍѤ¤¤Æ¤¤¤ë¤È²¾Äꤹ¤ë. |
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| \section{OpenXM ¤Î¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤} |
\section{OpenXM ¤Î¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤} |
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| ÄÌ¿®¤ÎÊýË¡¤Ë¤è¤Ã¤Æ¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤¤ÏÊѤï¤ë¡£ |
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| Á°Àá¤Ç²¾Äꤷ¤¿¤È¤ª¤ê¡¢¤³¤ÎÏÀʸ¤Ç¤Ï TCP/IP ¤Î¾ì¹ç¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤ò¹Ô¤Ê¤¦¡£ |
Á°Àá¤Ç²¾Äꤷ¤¿¤È¤ª¤ê, ¤³¤ÎÏÀʸ¤Ç¤Ï TCP/IP ¤Î¾ì¹ç¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤ò¹Ô¤Ê¤¦. |
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OpenXM µ¬Ìó¤Çµ¬Äꤵ¤ì¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥à¤È¤Ê¤Ã¤Æ¤ª¤ê, |
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| \begin{verbatim} |
\begin{verbatim} |
| #define OX_COMMAND 513 |
#define OX_COMMAND 513 |
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| #define OX_DATA_MP 525 |
#define OX_DATA_MP 525 |
| \end{verbatim} |
\end{verbatim} |
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| \section{OpenXM ¤Î·×»»¥â¥Ç¥ë} |
\section{OpenXM ¤Î·×»»¥â¥Ç¥ë} |
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OpenXM µ¬Ìó¤Ç¤Î·×»»¤È¤Ï¥á¥Ã¥»¡¼¥¸¤ò¸ò´¹¤¹¤ë¤³¤È¤Ç¤¢¤ë. ¤Þ¤¿, OpenXM µ¬ |
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| \section{OpenXM ¤Î·×»»¤Î¿Ê¹ÔÊýË¡} |
¤Þ¤È¤á¤ë¤È, ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ê, |
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\begin{enumerate} |
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\item |
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¤Þ¤º, ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥ª¥Ö¥¸¥§¥¯¥È¤òÁ÷¤ë. ¥µ¡¼¥Ð¤ÏÁ÷¤é¤ì¤Æ¤¤¿¥ª¥Ö |
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Î㤨¤Ð SM\_executeFunction, \\ |
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SM\_executeStringByLocalParser ¤Ê¤É¤ÎÌ¿Îá¤Ï, ¥¹¥¿¥Ã¥¯¾å¤Î¥ª¥Ö¥¸¥§¥¯¥È¤«¤é |
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·×»»¤ò¹Ô¤¦. SM\_popCMO ¤â¤·¤¯¤Ï SM\_popString ¤Ï, ¥¹¥¿¥Ã¥¯¤ÎºÇ¾å°Ì¤Î¥ª¥Ö |
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¥¸¥§¥¯¥È¤ò¼è¤ê¤À¤·, ¥¯¥é¥¤¥¢¥ó¥È¤ËÁ÷¤êÊÖ¤¹. |
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\end{enumerate} |
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\section{OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó}\label{sec:oxsm} |
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| \begin{enumerate} |
\begin{verbatim} |
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#define SM_popSerializedLocalObject 258 |
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#define SM_popCMO 262 |
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#define SM_popString 263 |
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#define SM_mathcap 264 |
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#define SM_pops 265 |
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#define SM_setName 266 |
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#define SM_evalName 267 |
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#define SM_executeStringByLocalParser 268 |
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#define SM_executeFunction 269 |
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#define SM_beginBlock 270 |
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#define SM_endBlock 271 |
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#define SM_shutdown 272 |
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#define SM_setMathCap 273 |
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#define SM_executeStringByLocalParserInBatchMode 274 |
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#define SM_getsp 275 |
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#define SM_dupErrors 276 |
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| \section{CMO ¤Î¥Ç¡¼¥¿¹½Â¤} |
#define SM_DUMMY_sendcmo 280 |
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#define SM_sync_ball 281 |
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| OpenXM µ¬Ìó¤Ç¤Ï¡¢¿ô³ØŪ¥ª¥Ö¥¸¥§¥¯¥È¤òɽ¸½¤¹¤ëÊýË¡¤È¤·¤Æ |
#define SM_control_kill 1024 |
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#define SM_control_to_debug_mode 1025 |
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#define SM_control_exit_debug_mode 1026 |
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#define SM_control_ping 1027 |
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#define SM_control_start_watch_thread 1028 |
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#define SM_control_stop_watch_thread 1029 |
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#define SM_control_reset_connection 1030 |
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\end{verbatim} |
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\section{CMO ¤Î¥Ç¡¼¥¿¹½Â¤}\label{sec:cmo} |
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OpenXM µ¬Ìó¤Ç¤Ï, ¿ô³ØŪ¥ª¥Ö¥¸¥§¥¯¥È¤òɽ¸½¤¹¤ëÊýË¡¤È¤·¤Æ CMO ·Á¼°(Common |
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Mathematical Object format)¤òÄêµÁ¤·¤Æ¤¤¤ë. ¤³¤Î CMO ·Á¼°¤Ë¤·¤¿¤¬¤Ã¤¿¥Ç¡¼ |
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CMO ·Á¼°¤Ë¤ª¤±¤ë¥Ç¡¼¥¿¹½Â¤¤Ï¼¡¤Î¤è¤¦¤Ê¹½Â¤¤ò¤â¤Ä. |
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CMO ¤Ç¤Ï, ¥¿¥°¤Ë¤è¤Ã¤Æ¥Ü¥Ç¥£¤ÎÏÀÍýŪ¹½Â¤¤¬·èÄꤹ¤ë. ¤¹¤Ê¤ï¤Á, ¥¿¥°¤Ï¤½¤ì |
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\cite{OpenXM-1999} ¤Ë¾Ü½Ò¤µ¤ì¤Æ¤¤¤ë. ¸½ºß¤Î OpenXM µ¬Ìó¤Ç¤Ï°Ê²¼¤Î CMO ¤¬ |
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| \begin{verbatim} |
\begin{verbatim} |
| #define CMO_INT32 2 /* 32 ¥Ó¥Ã¥ÈÀ°¿ô */ |
#define CMO_ERROR2 0x7f000002 |
| #define CMO_STRING 4 /* ʸ»úÎó */ |
#define CMO_NULL 1 |
| #define CMO_MATHCAP 5 /* mathcap(¸å½Ò) */ |
#define CMO_INT32 2 |
| #define CMO_LIST 17 /* ¥ê¥¹¥È¹½Â¤ */ |
#define CMO_DATUM 3 |
| #define CMO_ZZ 20 /* ¿ÇÜĹÀ°¿ô */ |
#define CMO_STRING 4 |
| |
#define CMO_MATHCAP 5 |
| |
|
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#define CMO_START_SIGNATURE 0x7fabcd03 |
| |
#define CMO_ARRAY 16 |
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#define CMO_LIST 17 |
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#define CMO_ATOM 18 |
| |
#define CMO_MONOMIAL32 19 |
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#define CMO_ZZ 20 |
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#define CMO_QQ 21 |
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#define CMO_ZERO 22 |
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#define CMO_DMS_GENERIC 24 |
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#define CMO_DMS_OF_N_VARIABLES 25 |
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#define CMO_RING_BY_NAME 26 |
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#define CMO_RECURSIVE_POLYNOMIAL 27 |
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#define CMO_LIST_R 28 |
| |
|
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#define CMO_INT32COEFF 30 |
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#define CMO_DISTRIBUTED_POLYNOMIAL 31 |
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#define CMO_POLYNOMIAL_IN_ONE_VARIABLE 33 |
| |
#define CMO_RATIONAL 34 |
| |
|
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#define CMO_64BIT_MACHINE_DOUBLE 40 |
| |
#define CMO_ARRAY_OF_64BIT_MACHINE_DOUBLE 41 |
| |
#define CMO_128BIT_MACHINE_DOUBLE 42 |
| |
#define CMO_ARRAY_OF_128BIT_MACHINE_DOUBLE 43 |
| |
|
| |
#define CMO_BIGFLOAT 50 |
| |
#define CMO_IEEE_DOUBLE_FLOAT 51 |
| |
|
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#define CMO_INDETERMINATE 60 |
| |
#define CMO_TREE 61 |
| |
#define CMO_LAMBDA 62 |
| \end{verbatim} |
\end{verbatim} |
| |
|
| ¤³¤³¤Ç 32 bit ¤ÎÀ°¿ô¤Îɽ¸½ÊýË¡¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ëɬÍפ¬¤¢¤ë¡£ |
¤³¤ÎÃæ¤Ç CMO\_ERROR2, CMO\_NULL, CMO\_INT32, CMO\_DATUM, CMO\_STRING, |
| OpenXM µ¬Ìó¤Ç¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥à¤Ç 32 bit ¤ÎÀ°¿ô 20 ¤ò |
CMO\_MATHCAP, CMO\_LIST ¤Ç¼±Ê̤µ¤ì¤ë¥ª¥Ö¥¸¥§¥¯¥È¤ÏºÇ¤â´ðËÜŪ¤Ê¥ª¥Ö¥¸¥§ |
| {\tt 00 00 00 14} ¤Èɽ¤¹ÊýË¡¤È {\tt 14 00 00 00} ¤Èɽ¤¹ÊýË¡¤¬¤¢¤ë¡£ |
¥¯¥È¤Ç¤¢¤Ã¤Æ, ¤¹¤Ù¤Æ¤Î OpenXM Âбþ¥·¥¹¥Æ¥à¤Ë¼ÂÁõ¤µ¤ì¤Æ¤¤¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤. |
| ¤³¤Îɽ¸½ÊýË¡¤Î°ã¤¤¤Ï¥¯¥é¥¤¥¢¥ó¥È¤È¥µ¡¼¥Ð¤ÎºÇ½é¤ÎÀܳ»þ¤Ë |
|
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|
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| (°Ê¸å¡¢¤³¤Îɽ¸½ÊýË¡¤ò¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¤È¸Æ¤Ö)¤ò |
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|
| 2 ¤ÎÊä¿ôɽ¸½¤ò»È¤¦¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£ |
|
| |
|
| CMO ·Á¼°¤Î¿ÇÜĹÀ°¿ô¤Ï¡¢ Gnu MP¥é¥¤¥Ö¥é¥êÅù¤ò»²¹Í¤Ë¤·¤Æ¤ª¤ê¡¢ |
¤³¤ì¤é¤Ë¤Ä¤¤¤Æ¤Î²òÀâ¤ò¹Ô¤¦Á°¤ËµË¡¤Ë¤Ä¤¤¤Æ, ¾¯¤·ÀâÌÀ¤·¤Æ¤ª¤¯. |
| Éä¹çÉÕ¤ÀäÂÐÃÍɽ¸½¤òÍѤ¤¤Æ¤¤¤ë¡£ |
¤³¤ÎÏÀʸ¤Ç¤Ï, Âçʸ»ú¤Ç CMO\_INT32 ¤È½ñ¤¤¤¿¾ì¹ç¤Ë¤Ï, ¾åµ¤ÇÄêµÁ¤·¤¿¼±ÊÌ»Ò |
| ¥¿¥°°Ê¹ß¤Î·Á¼°¤Ï¼¡¤Î¤è¤¦¤Ë¤Ê¤ë¡£ |
¤òɽ¤ï¤¹. ¤Þ¤¿ CMO\_INT32 ¤Ç¼±Ê̤µ¤ì¤ë¥ª¥Ö¥¸¥§¥¯¥È¤Î¥¯¥é¥¹(¤¢¤ë¤¤¤Ï¥Ç¡¼ |
| |
¥¿¹½Â¤)¤ò cmo\_int32 ¤È¾®Ê¸»ú¤Çɽ¤ï¤¹¤³¤È¤Ë¤¹¤ë. |
| |
|
| \begin{tabular}{|c|c|c|c|c|} \hline |
¤µ¤Æ cmo ¤òɽ¸½¤¹¤ë¤¿¤á¤Î°ì¤Ä¤ÎµË¡¤òƳÆþ¤¹¤ë. ¤³¤ÎµË¡¤Ï CMO expression |
| $f$ & $b_0$ & $b_1$ & $\cdots$ & $b_{n-1}$ \\ \hline |
¤È¸Æ¤Ð¤ì¤Æ¤¤¤ë. ¤½¤ÎÀµ³Î¤Ê·Á¼°ÅªÄêµÁ¤Ï \cite{OpenXM-1999} ¤ò»²¾È¤¹¤ë¤³¤È. |
| \end{tabular} |
|
| |
|
| ¤³¤³¤Ç¡¢ 1 ¤Ä¤ÎÏÈ¤Ï 4 ¥Ð¥¤¥È¤òɽ¤·¡¢ |
¤Þ¤º CMO expssion ¤Ï Lisp É÷ɽ¸½¤Î°ì¼ï¤Ç, cmo ¤ò³ç¸Ì¤Ç°Ï¤ó¤À¥ê¥¹¥È¤È¤· |
| $f$ ¤ÏÉä¹çÉÕ¤ 32 ¥Ó¥Ã¥ÈÀ°¿ô¤ò¡¢ |
¤Æɽ¸½¤¹¤ë. ¤½¤ì¤¾¤ì¤ÎÍ×ÁǤϥ«¥ó¥Þ¤Ç¶èÀÚ¤ë. |
| $b_0$, $b_1$, $\cdots$, $b_{n-1}$ ¤ÏÉä¹ç¤Ê¤· 32 ¥Ó¥Ã¥ÈÀ°¿ô¤òɽ¤·¤Æ¤¤¤ë¡£ |
Î㤨¤Ð, |
| ¤µ¤é¤Ë¡¢ $|f| = n$ ¤¬À®¤êΩ¤¿¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£ |
\begin{quote} |
| ¤³¤Î¥ª¥Ö¥¸¥§¥¯¥È¤Ï |
(17, {\sl int32}, (CMO\_NULL), (2, {\sl int32} $n$)) |
| \[ \mbox{sgn}(f) \times \{ b_0 (2^{32})^0 + b_1 (2^{32})^1 + \cdots |
\end{quote} |
| + b_{n-1} (2^{32})^{n-1} \} \] |
¤Ï CMO expression ¤Ç¤¢¤ë. ¤³¤³¤Ç, ¾®Ê¸»ú¤Î¼ÐÂΤÇɽ¤µ¤ì¤¿``{\sl int32}'' |
| ¤È¤¤¤¦À°¿ô¤Ç¤¢¤ë¤ÈÄêµÁ¤µ¤ì¤Æ¤¤¤ë¡£ |
¤Ï 4¥Ð¥¤¥È¤ÎǤ°Õ¤Î¥Ç¡¼¥¿¤òɽ¤¹µ¹æ¤Ç¤¢¤ê, ``{\sl int32} $n$'' ¤ÏƱ¤¸¤¯ 4 |
| ¤¿¤À¤·¡¢ |
¥Ð¥¤¥È¤Î¥Ç¡¼¥¿¤Ç¤¢¤ë¤¬°Ê²¼¤ÎÀâÌÀ¤Ç $n$ ¤Èɽ¤¹¤³¤È¤ò¼¨¤¹. ¤Þ¤¿¿ô»ú 17, 2 |
| \[ \mbox{sgn}(f) = \left\{ \begin{array}{ll} |
¤Ê¤É¤Ï 4¥Ð¥¤¥È¤Î¥Ç¡¼¥¿¤ÇÀ°¿ôÃͤȤ·¤Æ¤ß¤¿¤È¤¤ÎÃͤò°ÕÌ£¤¹¤ë. CMO\_NULL ¤Ï |
| 1 & f>0 \\ |
¼±ÊÌ»Ò(¤¹¤Ê¤ï¤Á¿ô»ú 1 ¤ÈÅù²Á)¤Ç¤¢¤ë. ¤³¤ÎµË¡¤«¤é¾åµ¤Î¥Ç¡¼¥¿¤Ï 20 ¥Ð¥¤ |
| 0 & f=0 \\ |
¥È¤ÎÂ礤µ¤Î¥Ç¡¼¥¿¤Ç¤¢¤ë¤³¤È¤¬Ê¬¤«¤ë. |
| -1 & f<0 \\ \end{array} \right. \] |
¤Ê¤ª, ¥Ç¡¼¥¿¤¬ CMO expression ¤Çɽµ¤Ç¤¤Æ¤â, |
| ¤Ç¤¢¤ë¡£ |
CMO ¤Ç¤¢¤ë¤È¤Ï¸Â¤é¤Ê¤¤¤³¤È¤ËÃí°Õ¤·¤Æ¤Û¤·¤¤. |
| |
|
| ¤³¤³¤Ç¶ñÂÎÎã¤ò¤À¤½¤¦¡£ |
¤µ¤Æ, ¤³¤ÎµË¡¤Î¤â¤È¤Ç cmo\_int32 ¤ò¼¡¤Î¥Ç¡¼¥¿¹½Â¤¤ò»ý¤Ä¤ÈÄêµÁ¤¹¤ë. |
| $4294967298 = 1 \times 2^{32} + 2$ ¤ò CMO ·Á¼°¤Î |
\begin{quote} |
| ¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¡¢Â¿ÇÜĹÀ°¿ô¤Çɽ¸½¤¹¤ë¤È¡¢ |
cmo\_int32 := (CMO\_INT32, {\sl int32}) |
| \begin{center} |
\end{quote} |
| {\tt 00 00 00 14 00 00 00 02 00 00 00 02 00 00 00 01} |
ƱÍͤË, cmo\_null, cmo\_string, cmo\_list, cmo\_mathcap ¤Î¥·¥ó¥¿¥Ã |
| \end{center} |
¥¯¥¹¤Ï¼¡¤Î¤è¤¦¤ËÄêµÁ¤µ¤ì¤ë. |
| ¤È¤Ê¤ë¡£¤Þ¤¿¡¢Æ±¤¸É½¸½ÊýË¡¤Ç $-1$ ¤òɽ¸½¤¹¤ë¤È¡¢ |
\begin{quote} |
| \begin{center} |
cmo\_null := (CMO\_NULL) \\ |
| {\tt 00 00 00 14 ff ff ff ff 00 00 00 01} |
cmo\_string := (CMO\_STRING, {\sl int32} $n$, {\sl string} $s$) \\ |
| \end{center} |
cmo\_list := (CMO\_LIST, {\sl int32} $m$, {\sl cmo} $c_1$, $\ldots$, |
| ¤È¤Ê¤ë¡£ |
{\sl cmo} $c_m$) \\ |
| |
cmo\_mathcap := (CMO\_MATHCAP, {\sl cmo\_list}) |
| |
\end{quote} |
| |
¤¿¤À¤·, {\sl string}¤ÏŬÅö¤ÊŤµ¤Î¥Ð¥¤¥ÈÎó¤òɽ¤¹. $s$ ¤Î¥Ð¥¤¥ÈĹ¤Ï $n$ |
| |
¤È°ìÃפ¹¤ë¤³¤È¤¬Í׵ᤵ¤ì¤ë. |
| |
|
| |
%{\Large °Ê²¼, Åļ¤Î½ñ¤¤¤¿Éôʬ¤Ç¤¢¤ë¤¬, ÌäÂê³°¤Ç¤¢¤ë¤³¤È¤è. \\ |
| |
%¤³¤ó¤Ê¤¤¤¤²Ã¸º¤Ê¤³¤È¤Ð¤«¤ê½ñ¤¯¤«¤é, ¿®ÍѤµ¤ì¤Ê¤¤¤ó¤À¤è. |
| |
%¡ÖCMO ¤Î 32 ¥Ó¥Ã¥ÈÀ°¿ô¡×¤Ê¤ó¤Æ¤É¤³¤ÇÄêµÁ¤·¤¿¤ó¤À¤è. µ¬Ìó¤Ë¤â¤½¤ó¤ÊÇϼ¯¤Ê |
| |
%¸ÀÍդϤʤ¤¤¾. ¤Þ¤¸¤á¤Ë½ñ¤¯µ¤¤¬¤¢¤ë¤Î¤«? |
| |
%} |
| |
% |
| |
%¤³¤ì¤Ï CMO ¤Î 32 ¥Ó¥Ã¥ÈÀ°¿ô $a$ ¤òɽ¤¹. |
| |
% |
| |
%¾¤Î¥ª¥Ö¥¸¥§¥¯¥È¤âÄêµÁ¤¹¤ë¤¿¤á¤Ë, |
| |
%``{\sl string} $s$'' ¤òʸ»úÎó $s$ , |
| |
%``{\sl cmo} $ob$'' ¤ò CMO ¤Î $ob$ ¤È¤¹¤ë. |
| |
%¤³¤ì¤òÍѤ¤¤Æ, cmo\_string, cmo\_list ¤òÄêµÁ¤¹¤ë. |
| |
% |
| |
%{\Large ¤Þ¤¿¤¤¤¤²Ã¸º¤Ê¤³¤È¤ò.... ``ʸ»úÎó'' ¤Î³µÇ°¤¬¤Ï¤Ã¤¤ê¤·¤Ê¤¤¤Ç¤·¤ç |
| |
%¤¦¤¬. } |
| |
% |
| |
%\begin{quote} |
| |
%cmo\_string := (CMO\_STRING, {\sl int32} $len$, {\sl string} $str$) \\ |
| |
%cmo\_list := (CMO\_LIST, {\sl int32} $n$, {\sl cmo} $ob_1$, |
| |
% {\sl cmo} $ob_2$, $\cdots$,{\sl cmo} $ob_n$) |
| |
%\end{quote} |
| |
% |
| |
%¤³¤ì¤Ï¤½¤ì¤¾¤ìŤµ $len$ ¤Îʸ»úÎó $str$ ¤È, |
| |
%$ob_1$, $ob_2$, $\cdots$, $ob_n$ ¤«¤é¤Ê¤ëŤµ $n$ ¤Î¥ê¥¹¥È¤òɽ¤¹. |
| |
|
| \section{mathcap ¤Ë¤Ä¤¤¤Æ} |
|
| |
|
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| ³Æ¥½¥Õ¥È¥¦¥§¥¢¤¬À©¸Â¤¹¤ëÊýË¡¤òÍÑ°Õ¤·¤Æ¤¤¤ë¡£ |
% OpenXM µ¬Ìó¤Ç¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥à¤Ç 32 bit ¤ÎÀ°¿ô 20 ¤ò |
| ¤³¤ì¤Ï³Æ¥½¥Õ¥È¥¦¥§¥¢¤Î¼ÂÁõ¤Ë¤è¤Ã¤Æ¤Ï¤¹¤Ù¤Æ¤Î¥á¥Ã¥»¡¼¥¸¤ò |
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| ¤Þ¤¿¡¢³Æ¥½¥Õ¥È¥¦¥§¥¢¤Ç¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò³ÈÄ¥¤·¤¿¤¤¾ì¹ç¤Ë¤â͸ú¤Ç¤¢¤ë¡£ |
% ÁÐÊý¤Î¹ç°Õ¤Ç·èÄꤹ¤ë¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë. |
| ¤³¤ÎÀ©¸Â(¤¢¤ë¤¤¤Ï³ÈÄ¥)¤Ï CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë mathcap ¤È |
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% (°Ê¸å, ¤³¤Îɽ¸½ÊýË¡¤ò¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¤È¸Æ¤Ö)¤ò |
| ¤³¤ÎÀá¤Ç¤Ï mathcap ¤Î¥Ç¡¼¥¿¹½Â¤¤È¡¢ |
% »È¤¦¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë. |
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% ¤Þ¤¿, Éé¤Î¿ô¤òɽ¸½¤¹¤ëɬÍפ¬¤¢¤ë¤È¤¤Ë¤Ï, |
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% 2 ¤ÎÊä¿ôɽ¸½¤ò»È¤¦¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë. |
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| ¥¯¥é¥¤¥¢¥ó¥È¦¤Î mathcap ¤ò¥µ¡¼¥Ð¤ØÁ÷¤ë¤È¡¢ |
% ¥Ð¥¤¥ÈÎó¤Ëľ¤¹¤È, |
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% \begin{center} |
| ¼¡¤Ë¥¯¥é¥¤¥¢¥ó¥È¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤ò¥µ¡¼¥Ð¤ØÁ÷¤ë¤³¤È¤Ë¤è¤ê¡¢ |
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| ¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤Æ¤¤¤ë mathcap ¤ò¼è¤ê½Ð¤·¡¢ |
% \end{center} |
| mathcap ¤ÇÀßÄꤵ¤ì¤Æ¤¤¤Ê¤¤¥á¥Ã¥»¡¼¥¸¤ò¥¯¥é¥¤¥¢¥ó¥È¦¤Ø |
% ¤È¤Ê¤ê, |
| Á÷¤é¤Ê¤¤¤è¤¦¤ËÀßÄꤹ¤ë¡£ |
% (CMO\_STRING, 6, ``OpenXM'') ¤Ï |
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% \begin{center} |
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| ¥µ¡¼¥Ð¤Ï¥µ¡¼¥Ð¼«¿È¤Î mathcap ¤ò¥¹¥¿¥Ã¥¯¤ËÀѤࡣ |
% \end{center} |
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| ¼¡¤Ë mathcap ¤Î¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë¡£ |
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| mathcap ¤Ï CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤ª¤ê¡¢ |
% Éä¹æÉÕ¤ÀäÂÐÃÍɽ¸½¤òÍѤ¤¤Æ¤¤¤ë. |
| 1 ¤Ä¤Î CMO ·Á¼°¤Î¥ª¥Ö¥¸¥§¥¯¥È¤ò»ý¤Ä¡£ |
% ¥¿¥°°Ê¹ß¤Î·Á¼°¤Ï¼¡¤Î¤è¤¦¤Ë¤Ê¤ë. |
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% \begin{tabular}{|c|c|c|c|c|} \hline |
| |
% $f$ & $b_0$ & $b_1$ & $\cdots$ & $b_{n-1}$ \\ \hline |
| |
% \end{tabular} |
| |
|
| \[ \begin{tabular}{|c|c|c|} \hline |
% ¤³¤³¤Ç, 1 ¤Ä¤ÎÏÈ¤Ï 4 ¥Ð¥¤¥È¤òɽ¤·, |
| $A$ & $B$ & $C$ \\ \hline |
% $f$ ¤ÏÉä¹æÉÕ¤ 32 ¥Ó¥Ã¥ÈÀ°¿ô¤ò, |
| \end{tabular} \] |
% $b_0$, $b_1$, $\cdots$, $b_{n-1}$ ¤ÏÉä¹æ¤Ê¤· 32 ¥Ó¥Ã¥ÈÀ°¿ô¤òɽ¤·¤Æ¤¤¤ë. |
| |
% ¤µ¤é¤Ë, $|f| = n$ ¤¬À®¤êΩ¤¿¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤. |
| |
% ¤³¤Î¥ª¥Ö¥¸¥§¥¯¥È¤Ï |
| |
% \[ \mbox{sgn}(f) \times \{ b_0 (2^{32})^0 + b_1 (2^{32})^1 + \cdots |
| |
% + b_{n-1} (2^{32})^{n-1} \} \] |
| |
% ¤È¤¤¤¦À°¿ô¤Ç¤¢¤ë¤ÈÄêµÁ¤µ¤ì¤Æ¤¤¤ë. |
| |
% ¤¿¤À¤·, |
| |
% \[ \mbox{sgn}(f) = \left\{ \begin{array}{ll} |
| |
% 1 & f>0 \\ |
| |
% 0 & f=0 \\ |
| |
% -1 & f<0 \\ \end{array} \right. \] |
| |
% ¤Ç¤¢¤ë. |
| |
|
| ºÇ½é¤ÎÍ×ÁÇ $A$ ¤ÎÉôʬ¤Ï°Ê²¼¤Î¿Þ¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤ª¤ê¡¢ |
% ¤³¤³¤Ç¶ñÂÎÎã¤ò¤À¤½¤¦. |
| $a_1$ ¤Ï 32 ¥Ó¥Ã¥ÈÀ°¿ô¤Ç¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼¤ò¡¢ |
% $4294967298 = 1 \times 2^{32} + 2$ ¤ò CMO ·Á¼°¤Î |
| $a_2$ ¤Ïʸ»úÎó¤Ç¥·¥¹¥Æ¥à¤Î̾Á°¤òɽ¤¹¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£ |
% ¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼, ¿ÇÜĹÀ°¿ô¤Çɽ¸½¤¹¤ë¤È, |
| |
% \begin{center} |
| |
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| $c_{i1}$ (32 ¥Ó¥Ã¥È¤ÎÀ°¿ô) & $c_{i2}$ & $c_{i3}$ & |
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| $\cdots$ & $c_{im}$ \\ \hline |
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| \begin{tabular}{|c|c|c|c|c|} \hline |
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| $c_{i21}$ & $c_{i22}$ & $\cdots$ & $c_{i2l}$ \\ \hline |
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| \end{tabular} |
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| }^{c_{i2}} \] |
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| %¤Ê¤ª¡¢ mathcap ¥Ç¡¼¥¿¤ÎÃæ¤Ç¤Ï CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë |
Âè°ì¤Ë¥µ¡¼¥Ð¤Îµ¡Ç½¤òÀ©¸Â¤¹¤ë¤Ë¤Ï¼¡¤Î¤è¤¦¤Ë¤¹¤ë. ¥¯¥é¥¤¥¢¥ó¥È¤¬ mathcap |
| %32 bit À°¿ô¡¢Ê¸»úÎ󡢥ꥹ¥È¹½Â¤¤¬»È¤ï¤ì¤Æ¤ª¤ê¡¢ |
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| %ɬÁ³Åª¤Ë¤³¤ì¤é¤âÍý²ò¤Ç¤¤ëɬÍפ¬¤¢¤ë |
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ÂèÆó¤Ë¥¯¥é¥¤¥¢¥ó¥È¤òÀ©¸Â¤¹¤ë¤Ë¤Ï¼¡¤Î¤è¤¦¤Ë¤¹¤ë. ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤ËÌ¿Îá \\ |
| %¤Ê¤ª¡¢ $a_1$, $a_2$, $\cdots$, $a_n$ ¤òÍ×ÁÇ¤Ë |
SM\_mathcap ¤òÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï mathcap ¥ª¥Ö¥¸¥§¥¯¥È¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà. |
| %»ý¤Ä¥ê¥¹¥È¹½Â¤¤ò {\tt [$a_1$, $a_2$, $\cdots$, $a_n$]} ¡¢ |
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| %ʸ»úÎó ``string'' ¤ò {\tt "string"} ¡¢ 32 bit À°¿ô¤ò |
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| %¤½¤ì¤ËÂбþ¤¹¤ë 10 ¿Ê¿ô¤ÎÀ°¿ô¤Ç¼¨¤¹¡£ |
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| ̾Á°¤¬ ``ox\_test'' ¡¢¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼¤¬ 199911250 ¤Î¥µ¡¼¥Ð¤Ç¤¢¤ì¤Ð¡¢ |
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¼¡¤Ë mathcap ¤Î¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë. |
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mathcap ¤Ï CMO ¤Î°ì¼ï¤Ç¤¢¤ë¤Î¤Ç, ¤¹¤Ç¤ËÀâÌÀ¤·¤¿¤è¤¦¤Ë \\ |
| \begin{tabular}{|c|c|} \hline |
\begin{tabular}{|c|c|} \hline |
| 199911250 & "ox\_test" \\ \hline |
¥Ø¥Ã¥À & \hspace{10mm} ¥Ü¥Ç¥£ \hspace{10mm} \\ \hline |
| \end{tabular} |
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| \begin{tabular}{|c|c|c|c|c|} \hline |
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| 2 & 3 & 5 & 7 & 11 \\ \hline |
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| \end{tabular} |
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| ¤È¤Ê¤ê¡¢ |
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| ¼õ¤±¼è¤ì¤ë¤È¤¤Ë¤Ï¡¢ $C$ ¤ÎÉôʬ¤Ï |
|
| \begin{tabular}{|c|} \hline |
|
| \\[-5mm] |
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| \begin{tabular}{|c|c|} \hline |
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| & \\[-5mm] |
|
| OX\_DATA & |
|
| \begin{tabular}{|c|c|c|c|} \hline |
|
| CMO\_INT32 & CMO\_STRING & CMO\_MATHCAP & CMO\_LIST \\ \hline |
|
| \end{tabular} \\[0.8mm] \hline |
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| \end{tabular} \\[1.4mm] \hline |
|
| \end{tabular} \\ |
\end{tabular} \\ |
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¤Î¹½Â¤¤ò»ý¤Á¥Ø¥Ã¥À¤ÎÃÍ¤Ï 5 ¤Ç¤¢¤ë(\ref{sec:cmo} Àá¤ò»²¾È¤Î¤³¤È). |
| CMO\_ZZ ¤¬¤Ê¤¤¤Î¤Ç¡¢¤³¤Î¥µ¡¼¥Ð¤Ï¿ÇÜĹÀ°¿ô¤¬ |
¥Ü¥Ç¥£¤Ï cmo\_list ¥ª¥Ö¥¸¥§¥¯¥È¤Ç¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤. |
| Á÷¤é¤ì¤Æ¤³¤Ê¤¤¤³¤È¤ò´üÂÔ¤·¤Æ¤¤¤ë¡£ |
|
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| ¤Ê¤ª¡¢¥Ç¡¼¥¿¤¬¼õ¤±¼è¤ì¤ë¤³¤È¤È¡¢ |
%\begin{quote} |
| ¥Ç¡¼¥¿¤ÎÏÀÍý¹½Â¤¤¬Íý²ò¤Ç¤¤ë¤³¤È¤È¤Ï¤Þ¤Ã¤¿¤¯ÊÌʪ¤Ç¤¢¤ë¤Î¤Ç |
% cmo\_mathcap := (CMO\_MATHCAP,{\sl cmo} obj) |
| Ãí°Õ¤¹¤ëɬÍפ¬¤¢¤ë¡£ |
%\end{quote} |
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|
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¤µ¤Æ, mathcap ¥ª¥Ö¥¸¥§¥¯¥È¤Î¥Ü¥Ç¥£¤Î cmo\_list ¥ª¥Ö¥¸¥§¥¯¥È¤Ï°Ê²¼¤Î¾ò·ï¤ò |
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Ëþ¤¿¤¹¤³¤È¤òÍ׵ᤵ¤ì¤ë. |
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|
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¤Þ¤º, ¤½¤Î cmo\_list ¥ª¥Ö¥¸¥§¥¯¥È¤Ï¾¯¤Ê¤¯¤È¤â¥ê¥¹¥ÈŤ¬ 3 °Ê¾å¤Ç¤Ê¤±¤ì¤Ð |
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¤Ê¤é¤Ê¤¤. |
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|
| |
\begin{quote} |
| |
(CMO\_LIST, {\sl int32}, {\sl cmo} $A$, {\sl cmo} $B$, {\sl cmo} $C$, $\ldots$) |
| |
\end{quote} |
| |
|
| |
Âè°ìÍ×ÁÇ $A$ ¤Ï¤Þ¤¿ cmo\_list ¤Ç¤¢¤ê, ¥ê¥¹¥ÈĹ¤Ï 4 °Ê¾å, |
| |
$a_1$ ¤Ï 32 ¥Ó¥Ã¥ÈÀ°¿ô¤Ç¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼¤ò, |
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$a_2$, $a_3$, $a_4$ ¤Ïʸ»úÎó¤Ç¤¢¤ê, |
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¤½¤ì¤¾¤ì¥·¥¹¥Æ¥à¤Î̾Á°, , HOSTTYPE ¤òɽ¤¹¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë. |
| |
\begin{quote} |
| |
(CMO\_LIST, {\sl int32}, |
| |
{\sl cmo\_int32} $a_1$, {\sl cmo\_string} $a_2$, {\sl cmo\_string} |
| |
$a_3$, {\sl cmo\_string} $a_4$, $\ldots$) |
| |
\end{quote} |
| |
|
| |
ÂèÆóÍ×ÁÇ $B$ ¤ÎÉôʬ¤Ï¼¡¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤ë. |
| |
¤³¤Î $b_1$, $b_2$, $\cdots$, $b_n$ ¤Ï¤¹¤Ù¤Æ cmo\_int32 ¤Ç¤¢¤ë. |
| |
\ref{sec:oxsm} Àá¤ÇÀâÌÀ¤·¤¿¤¬, |
| |
¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤Ï¤¹¤Ù¤Æ {\sl int32} ¤Çɽ¤µ¤ì¤Æ¤¤¤¿¤³¤È¤ËÃí°Õ¤·¤è |
| |
¤¦. ³Æ $b_i$ ¤ÏÍøÍѲÄǽ¤ÊÌ¿Îá¤ò¥Ü¥Ç¥£¤È¤·¤¿ cmo\_int32 ¤È¤Ê¤Ã¤Æ¤¤¤ë. |
| |
\begin{quote} |
| |
(CMO\_LIST, {\sl int32} $n$, |
| |
{\sl cmo\_int32} $b_1$, {\sl cmo\_int32} $b_2$, |
| |
$\cdots$, {\sl cmo\_int32} $b_n$) |
| |
\end{quote} |
| |
|
| |
Âè»°Í×ÁÇ $C$ ¤Ï°Ê²¼¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤ë. |
| |
\begin{quote} |
| |
(CMO\_LIST, {\sl int32} $m$, \\ |
| |
\hspace{10mm} (CMO\_LIST, {\sl int32} $l_1$, {\sl cmo\_int32} $c_{11}$, |
| |
{\sl cmo} $c_{12}$, $\cdots$, {\sl cmo} $c_{1l_1}$) \\ |
| |
\hspace{10mm} (CMO\_LIST, {\sl int32} $l_2$, {\sl cmo\_int32} $c_{21}$, |
| |
{\sl cmo} $c_{22}$, $\cdots$, {\sl cmo} $c_{1l_2}$) \\ |
| |
\hspace{10mm} $\vdots$ \\ |
| |
\hspace{10mm} (CMO\_LIST, {\sl int32} $l_m$, {\sl cmo\_int32} $c_{m1}$, |
| |
{\sl cmo} $c_{m2}$, $\cdots$, {\sl cmo} $c_{1l_m}$)) |
| |
\end{quote} |
| |
¤É¤Î $c_{i1}$ ¤Ë¤â cmo\_int32 ¤¬Æþ¤Ã¤Æ¤ª¤ê, |
| |
OX\_COMMAND °Ê³°¤Î, ¼õ¤±¼è¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¼±Ê̻Ҥ¬Æþ¤Ã¤Æ¤¤¤ë. |
| |
$c_{i2}$ °Ê¹ß¤Ë¤Ä¤¤¤Æ¤ÏºÇ½é¤Î $c_{i1}$ ¤ÎÃͤˤè¤Ã¤Æ¤½¤ì¤¾¤ì°Û¤Ê¤ë. |
| |
¤³¤³¤Ç¤Ï, OX\_DATA ¤Î¾ì¹ç¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤¹¤ë. |
| |
¤³¤Î $c_{i1}$ ¤¬ OX\_DATA ¤Î¾ì¹ç, |
| |
$c_{i1}$, $c_{i2}$, $\cdots$, $c_{il_i}$ ¤òÍ×ÁǤȤ¹¤ë cmo\_list ¤Ï |
| |
CMO ·Á¼°¤Ë¤Ä¤¤¤Æ¤Î¾ðÊó¤òɽ¤·¤Æ¤ª¤ê, $l_i=2$ ¤È·è¤á¤é¤ì¤Æ¤¤¤ë. |
| |
$c_{i1}$ ¤Ë¤Ï¤â¤Á¤í¤ó¤Î¤³¤È OX\_DATA ¤¬Æþ¤Ã¤Æ¤ª¤ê, |
| |
$c_{i2}$ ¤Ï°Ê²¼¤Î¿Þ¤Î¤è¤¦¤Ê cmo\_list ¤Ë¤Ê¤Ã¤Æ¤¤¤ë. |
| |
³ÆÍ×ÁÇ¤Ï cmo\_int32 ¤Ç¤¢¤ê, |
| |
¼õ¤±¼è¤ë¤³¤È¤¬²Äǽ¤Ê CMO ·Á¼°¤Î¥¿¥°¤¬Æþ¤ë. |
| |
\begin{quote} |
| |
(CMO\_LIST, {\sl int32} $k$, |
| |
{\sl cmo\_int32} $c_{i21}$, {\sl cmo\_int32} $c_{i22}$, |
| |
$\cdots$, {\sl cmo\_int32} $c_{i2k}$) |
| |
\end{quote} |
| |
|
| |
¶ñÂÎŪ¤Ê mathcap ¤ÎÎã¤ò¤¢¤²¤è¤¦. |
| |
̾Á°¤¬ ``ox\_test'', ¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼¤¬ 199911250 ¤Î¥µ¡¼¥Ð¤Ç, |
| |
PC-UNIX ¾å¤ÇÆ°¤¤¤Æ¤¤¤ì¤Ð, |
| |
$A$ ¤ÎÉôʬ¤Ï |
| |
\begin{quote} |
| |
(CMO\_LIST, 4, (CMO\_INT32, $199911250$), (CMO\_STRING, 7, "ox\_test"), \\ |
| |
\ \ (CMO\_STRING, 9, "199911250"), (CMO\_STRING, 4, "i386")) |
| |
\end{quote} |
| |
¤È¤Ê¤ë. |
| |
%({\Large ½¤Àµ¤ò¤ß¤Æ, ¤¿¤À¤·¤¯Ä¾¤¹¤³¤È}) |
| |
|
| |
¤µ¤é¤Ë, ¤³¤Î¥µ¡¼¥Ð¤Î¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤¬ |
| |
Ì¿Îá SM\_popCMO, SM\_popString, SM\_mathcap, |
| |
SM\_executeStringByLocalParser ¤òÍøÍѲÄǽ |
| |
%(¼ÂºÝ¤Ë¤Ï¤³¤Î¤è¤¦¤ÊÌ¿Îᥳ¡¼¥É¤Ï¸ºß¤·¤Ê¤¤) |
| |
%{\Large ¤¸¤ã¤¢½ñ¤¯¤Ê} |
| |
¤Ç¤¢¤ì¤Ð, $B$ ¤ÎÉôʬ¤Ï |
| |
\begin{quote} |
| |
(CMO\_LIST, {\sl int32} $5$, |
| |
(CMO\_INT32, SM\_popCMO), \\ |
| |
\ \ (CMO\_INT32, SM\_popString), (CMO\_INT32, SM\_mathcap), \\ |
| |
\ \ (CMO\_INT32, SM\_executeStringByLocalParser)) |
| |
\end{quote} |
| |
¤È¤Ê¤ê, |
| |
CMO ·Á¼°¤Î 32 ¥Ó¥Ã¥ÈÀ°¿ô, ʸ»úÎó, mathcap , ¥ê¥¹¥È¹½Â¤¤Î¤ß¤¬ |
| |
¼õ¤±¼è¤ì¤ë¤È¤¤Ë¤Ï, $C$ ¤ÎÉôʬ¤Ï |
| |
\begin{quote} |
| |
(CMO\_LIST, {\sl int32} $1$, \\ |
| |
\ \ (CMO\_LIST, {\sl int32} $2$, (CMO\_INT32, OX\_DATA), \\ |
| |
\ \ \ \ (CMO\_LIST, {\sl int32} $4$, (CMO\_INT32, CMO\_INT32), \\ |
| |
\ \ \ \ \ (CMO\_INT32, CMO\_STRING), (CMO\_INT32, CMO\_MATHCAP), \\ |
| |
\ \ \ \ \ (CMO\_INT32, CMO\_LIST)))) |
| |
\end{quote} |
| |
¤È¤Ê¤ë. |
| |
|
| |
% ¤Ê¤ª, ¤³¤Î mathcap ¤Ç¤Ï, ¥Ç¡¼¥¿¤ÎÏÀÍý¹½Â¤¤¬Íý²ò¤Ç¤¤ë¤«¤É¤¦¤« |
| |
% ¤Þ¤Ç¤Ïʬ¤«¤é¤Ê¤¤¤Î¤ÇÃí°Õ¤¹¤ëɬÍפ¬¤¢¤ë. |
| |
|
| \section{¥»¥¥å¥ê¥Æ¥£Âкö} |
\section{¥»¥¥å¥ê¥Æ¥£Âкö} |
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\section{¾¤Î¥×¥í¥¸¥§¥¯¥È} |
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| \item OpenMath |
\item OpenMath |
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| OpenMath ¥×¥í¥¸¥§¥¯¥È¤Ï¿ô³ØŪ¤Ê¥ª¥Ö¥¸¥§¥¯¥È¤ò |
http://www.openmath.org/omsoc/ A.M.Cohen |
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XML ɽ¸½¤ä¥Ð¥¤¥Ê¥êɽ¸½¤Ê¤É¤¬ÍÑ°Õ¤µ¤ì¤Æ¤¤¤ë. |
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| \item NetSolve |
\item NetSolve |
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| http://www.cs.utk.edu/netsolve/ |
http://www.cs.utk.edu/netsolve/ |
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\item MP |
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| http://symbolicNet.mcs.kent.edu/SN/areas/protocols/mp.html |
http://symbolicNet.mcs.kent.edu/SN/areas/protocols/mp.html |
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|
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¿ô³ØŪ¤Ê¥Ç¡¼¥¿¤Î¸úΨŪ¤Ê¸ò´¹¤Î¤¿¤á¤Î¥×¥í¥È¥³¥ë. |
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| \item MCP |
\item MCP |
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| http://horse.mcs.kent.edu/~pwang/ |
http://horse.mcs.kent.edu/~pwang/ |
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|
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HTTP ¥×¥í¥È¥³¥ë¤òÍѤ¤¤Æ¡¢¥ê¥â¡¼¥È¤Î·×»»µ¡¤Ç·×»»¤ò¹Ô¤Ê¤¦. |
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¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥¯¥é¥¤¥¢¥ó¥È¤Ë¤Ïasir, sm1, Mathematica ¤¬¤¢¤ë. |
| asir, sm1, Mathematica ¤¬¤¢¤ë¡£ |
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| ¤³¤ì¤é¤Î¥¯¥é¥¤¥¢¥ó¥È¤«¤é |
¤¬¤Ç¤¤ë. ¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥µ¡¼¥Ð¥½¥Õ¥È¥¦¥§¥¢¤Ë¤Ï, asir, |
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sm1, gnuplot, Mathematica, PHC pack ¤Ê¤É¤¬¤¢¤ê, |
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¤½¤ì¤¾¤ì ox\_asir, ox\_sm1, ox\_sm1\_gnuplot, ox\_math, ox\_sm1\_phc |
| asir, sm1, gnuplot, Mathematica ¤Ê¤É¤¬¤¢¤ê¡¢ |
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| ¤Þ¤¿¡¢ OpenMath µ¬³Ê¤Î XML ɽ¸½¤Çɽ¸½¤µ¤ì¤¿¥ª¥Ö¥¸¥§¥¯¥È¤È CMO ·Á¼°¤Î |
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| \begin{thebibliography}{99} |
\begin{thebibliography}{99} |
| \bibitem{Ohara-Takayama-Noro-1999} |
\bibitem{Ohara-Takayama-Noro-1999} |
| ¾®¸¶¸ùǤ, ¹â»³¿®µ£, ÌîϤÀµ¹Ô: |
¾®¸¶¸ùǤ, ¹â»³¿®µ£, ÌîϤÀµ¹Ô: |
| {Open asir ÆþÌç}, 1999, ¿ô¼°½èÍý, Vol 7, No 2, 2--17. (ISBN4-87243-086-7, SEG ½ÐÈÇ, Tokyo). |
{Open asir ÆþÌç}, 1999, ¿ô¼°½èÍý, |
| |
Vol 7, No 2, 2--17. (ISBN4-87243-086-7, SEG ½ÐÈÇ, Tokyo). |
| |
|
| \bibitem{OpenXM-1999} |
\bibitem{OpenXM-1999} |
| ÌîϤÀµ¹Ô, ¹â»³¿®µ£: |
ÌîϤÀµ¹Ô, ¹â»³¿®µ£: |
| {Open XM ¤ÎÀ߷פȼÂÁõ --- Open message eXchange protocol for Mathematics}, |
{Open XM ¤ÎÀ߷פȼÂÁõ |
| 1999/11/22 |
--- Open message eXchange protocol for Mathematics}, |
| |
1999/11/22 |
| \end{thebibliography} |
\end{thebibliography} |
| |
|
| \end{document} |
\end{document} |
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